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Finding the Fourth Proportional to 13,456.97, 18,573.35 and 7,869.77

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Solution

The fourth proportional to 13,456.97, 18,573.35 and 7,869.77 is: 10,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.97 : 18,573.35 = 7,869.77 : x
  2. Step 2: Convert to fraction form
    13,456.97/18,573.35 = 7,869.77/x
  3. Step 3: Cross multiply
    13,456.97x = 18,573.35 × 7,869.77
  4. Step 4: Simplify right side
    13,456.97x = 146,167,953.28
  5. Step 5: Solve for x
    x = 146,167,953.28/13,456.97
  6. Step 6: Final answer
    x = 10,861.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.